# Leibniz Legible — https://leibnizlegible.com
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# Permalink to this reading: https://leibnizlegible.com/page/797939695:0121?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 101, page id 797939695:0121
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=121
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000121.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

ECDI
aIa Pdi
CumN
10 C+
tione
lB,C
id alit
enAI
1B.
D, led
nritale
AB.
acta l
A ad
Xione
je ab.
is
Geometrisa.
icem ratio C ad D; _ cum eadem lc ratio
Aad B _ C; ad D, camdem quoqueesso
necesse est, differentia AB, ad B, dc disse-
rentiae C D, adD; id est A minus B,
2dB, X C minus D, ad D; ex haec vo-
catur ratio divila: paricer autem osten-
dicur esse ve Aminis B, ad A, ita C ini-
nusD, ad C; item ve B ad A inus B.
ica D ad C minus D; e Ve A ad A minus
B, ita C ad C minus D; cum eni B (ic ad
B, VED ad D, _ A ad B, VE C ad D coniu-
ctim exit leorlim A ad A minus BVCC ad
Cminus D cum idem lemper idé praestet.
VI. Si A est ad B, V D adE; e Bad C,
reE ad F; erit A ad C, ve D ad P.nempe
cum sic eadem ratio A ad B, quae cAD ad
E, d cadem B ad C, gux est P ad F; racio
A ad B habet necellariam connexionem
cumratione B ad C; icem eade ratio D ad
Enecellariam, cum ratione P ad F, quae
elt eadem cum ratione B ad C; igitur A
ad C eadem esthabicudo, quae D ad P
id est, licut A eA antecedens rationis a
adB, vel D ad F; _ B antecedens F4
rionis Bad C, vel F ad F, ica D est antC-
cedens rarionis D ad E, vel A ad B, _ F
ancecedes rationis F ad F; sed hoc est elle
Aad C rED est ad F; e haec dicitur ratis
Cx
antece
ante
Alequet
nleque
eiulden
hoce